A368442 - OEIS

%I #10 Dec 25 2023 10:02:03

%S 1,3,33,483,9537,235203,6960993,240350883,9484451457,421047638403,

%T 20768624968353,1126878096701283,66701360437693377,

%U 4277150701010241603,295365044324205535713,21853794944452689691683,1724738884402183269207297,144626802398076537956524803

%N Expansion of e.g.f. exp(-x) / (3 - 2*exp(2*x)).

%F a(n) = (-1)^n + 2 * Sum_{k=1..n} 2^k * binomial(n,k) * a(n-k).

%o (PARI) a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=(-1)^i+2*sum(j=1, i, 2^j*binomial(i, j)*v[i-j+1])); v;

%Y Cf. A367977, A368443, A368454.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Dec 24 2023